Help with a ssimple 0 to 3 counter using integers

Hi, I am trying to design a counter from 0 to 3 using integers. The code that I used is below

library IEEE;
use IEEE.STD_LOGIC_1164.ALL;
use IEEE.STD_LOGIC_ARITH.ALL;
use IEEE.STD_LOGIC_UNSIGNED.ALL;
entity Counter is
    Port ( C : out integer range 0 to 3;
           clk  : in  STD_LOGIC;
           Reset : in  STD_LOGIC;
           
end Counter;
architecture Behavioral of Counter is
signal count : integer range 0 to 3;
begin
process(Reset, clk)
begin 
 if Reset = '1' then
  count <=0;
 elsif Rising_edge(clk) then
  if count < 3 then
   count <= count +1;
  else
   count <= 0;
  end if;
 end if;
end process;
c <= count;
end Behavioral;
 

I want the output 'c' to display 0,1,2,3 but when I simulate it the 'c' gives 0,1,10,11. I am declaring 'c' right or do I need to use another type? Any advice is welcome, thanks in advance.